Finding the Third Proportional to 34,562 and 75,820

Step by Step Solution

1. Step 1: Write the proportion equation
   34,562 : 75,820 = 75,820 : x
2. Step 2: Convert to fraction form
   34,562/75,820 = 75,820/x
3. Step 3: Cross multiply
   34,562x = 75,820 × 75,820
4. Step 4: Simplify right side
   34,562x = 5,748,672,400
5. Step 5: Solve for x
   x = 5,748,672,400/34,562
6. Step 6: Final answer
   x = 166,329.27